รูปแบบกำหนดการเชิงเส้นจำนวนเต็มแบบผสมสำหรับการเลือกที่ตั้งเครื่องรีไซเคิลแบบย้อนกลับอัตโนมัติในอำเภอเมืองลำปาง

Abstract

This research focuses on the site selection of reverse vending recycling machines in Mueang Lampang district. The objective is to identify optimal locations by developing a mathematical model utilizing mixed-integer linear programming. The model aims to maximize waste coverage while minimizing the combined distances from community collection points to the recycling machines and from these machines to the recycling company. Data analysis and model processing were conducted using the LINGO program. which is a tool designed to solve problems and create mathematical models in linear. The study began by modeling the site selection problem through mixed-integer linear programming, followed by coding the proposed linear programming model. Initial testing was performed on a small-scale model to ensure functionality, which was then applied to 17 potential locations. The experimental results show that the optimal locations for the reverse vending machines, which maximize waste coverage and minimize the combined distance from the community to the machine and from the machine to the company, are five locations : Point 2 (Clock Tower Park Lampang), Point 4 (Nong Krating Park), Point 7 (Wat Tha Tok), Point 11 (Wat Ban Mak), and Point 12 (Wat Thung Jo Sridonchai). These locations collectively cover the largest amount of waste, totaling 35,150.00 kilograms, with the minimum total distance of 179.90 kilometers.